The following represents a project that should be scheduled using CPM:

ACTIVITY IMMEDIATE PREDECESSORS TIMES $($DAYS$)$

a m b

A $147$

B $135$

C A $2511$

D A $189$

E B $123$

F C$,$D $1611$

G D$,$E $123$

H F$,$G $233$

What is the critical path?

multiple choice

A$-$D$-$F$-$H Correct

B$-$E$-$G$-$H

A$-$C$-$F$-$H

A$-$D$-$G$-$H

What is the expected project completion time?

Note: Do not round intermediate calculations. Round your answer to $3$ decimal places.

What is the probability of completing this project within $22$ days?

Note: Use Excel's NORM.S$.$DIST function to find the correct probability for your computed Z value. Do not round intermediate calculations. Round Z value to $2$ decimal places and final answer to $4$ decimal places.